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The Deep Underground Neutrino Experiment (DUNE) is a next-generation neutrino oscillation experiment aiming, among other measurements, to observe charge-parity violation (CPV) in the neutrino sector and to resolve the neutrino mass ordering. (Anti)neutrino beams of unprecedented intensity are provided by the Long-Baseline Neutrino Facility (LBNF) at Fermilab, offering a broad range of physics opportunities for various precision measurements and searches for new physics. A key role in constraining the dominant systematics uncertanties is played by the near detector (ND) complex. A technique has been recently proposed to achieve a control of the neutrino targets and fluxes comparable to electron scattering experiments. In particular, it allows precise measurements from high statistics samples of (anti)neutrino interactions off hydrogen and off various nuclear targets. We will discuss some applications to constrain the systematic uncertainties relevant for the long-baseline neutrino oscillation analysis, as well as to perform various precision measuremets within the ND complex complementing the ongoing fixed-target, collider, and nuclear physics programs.